Total number of lambda-parking functions induced by all partitions of n into distinct parts.

Terms

a(0) =1a(1) =1a(2) =2a(3) =6a(4) =9a(5) =15a(6) =36a(7) =53a(8) =78a(9) =119a(10) =286a(11) =401a(12) =591a(13) =829a(14) =1232a(15) =2910a(16) =4084a(17) =5789a(18) =8070a(19) =11281a(20) =15823a(21) =37747a(22) =51622a(23) =72919a(24) =98986a(25) =136600a(26) =181648a(27) =254638a(28) =586891a(29) =799841